@article{guidedflowmatchingforforwardandinversepd,
  title = {Guided Flow Matching for Forward and Inverse PDE Problems with Sparse Observations: Algorithm and Theory},
  author = {Xifeng Zhang and Jin Zhao},
  year = {2026},
  eprint = {2605.25509},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.25509},
}